Cremona's table of elliptic curves

Curve 115851c1

115851 = 3 · 232 · 73



Data for elliptic curve 115851c1

Field Data Notes
Atkin-Lehner 3+ 23- 73+ Signs for the Atkin-Lehner involutions
Class 115851c Isogeny class
Conductor 115851 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 2635776 Modular degree for the optimal curve
Δ 37507281333290793 = 38 · 238 · 73 Discriminant
Eigenvalues  1 3+  0 -2 -6 -2  4  4 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-5274405,4660180776] [a1,a2,a3,a4,a6]
j 109616832370851625/253366137 j-invariant
L 0.630581473675 L(r)(E,1)/r!
Ω 0.31529067264187 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 5037b1 Quadratic twists by: -23


Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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